Question

2(x-7)² = 32? What are the solutions

Answer 1

The correct solution is x=(+11 , +3)

Step-by-step solution:

2(x-7)²=32

⇒2(x-7)(x-7)=32

⇒(x-7)(x-7)=(32/2)

⇒(x-7)(x-7)=16

⇒(x-7)²=16

⇒
`(x-7)=√(16)`

⇒(x-7) = ±4

⇒(x-7) = +4 or ⇒(x-7) = -4

⇒x = +4+7 or ⇒x = -4+7

⇒x = +11 or ⇒x = +3

Therefore, the correct solution is x = (+11 , +3)